How to Find GCF of 544/647, 972/466?

GCF of 544/647, 972/466

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 544/647, 972/466 i.e 4/301502 easily. The following is the detailed procedure to determine the greatest common factor of fractions 544/647, 972/466.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 544/647,972/466?

Given fractions are 544/647,972/466

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 544/647,972/466, numerators are 544,972

Denominators are 647,466

The GCF of 544,972 is 4 .

LCM of 647,466 is 301502.

The greatest common factor of 544/647,972/466 = [GCF of 544,972]/[LCM of 647,466]= 4/301502

Therefore, the GCF of 544/647,972/466 is 4/301502.

Greatest Common Factor of 544,972

To find the highest common factor of 544,972, we have to find the factors of both numbers and list the highest common factor.

The factors of 544 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

The factors of 972 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

The HCF of 544,972 is 4.

Lets's calculate GCF of 544,972

Greatest Common Factor (GCF) of 544,972 By Common Division

2	544, 972
2	272, 486
	136, 243

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 544,972 By Matching Biggest Common Factor Method

Now, list down the factors of 544

1,2,4,8,16,17,32,34,68,136,272,544

Now, list down the factors of 972

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 544,972 . The biggest common factor number is the GCF number.
So the greatest common factor 544,972 is 4.

Lets's calculate LCM of 647,466

Lowest Common Multiple of 647,466 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 301502

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/301502

Therefore, the GCF of Fractions 544/647,972/466 is 4/301502

Least Common Multiple of 647,466 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 647,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(647,466) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(647,466) x common factors =1 x 1 = 1

LCM(647,466) = ( 647 × 466 ) / 1

LCM(647,466) = 301502 / 1

LCM(647,466) = 301502

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FAQs on GCF of Fractions of 544/647, 972/466

1. What is the HCF of 544,972?

The HCF of 544,972 is 4

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 544/647, 972/466?

Answer: GCF of Numerators as per given numbers 544/647, 972/466 is

GCF of Numerators i.e. for 544,972 is 4

LCM of denominators i.e. for 647,466 is 301502.

Thus, GCF of Fractions is 4/301502.Finally, GCF of Fractions for 544/647, 972/466 is 4/301502.